Cremona's table of elliptic curves

14440 = 2³ · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 5- 19+	Signs for the Atkin-Lehner involutions
Class	14440c	Isogeny class
Conductor	14440	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	142272	Modular degree for the optimal curve
Δ	-21738960692480000 = -1 · 211 · 54 · 198	Discriminant
Eigenvalues	2+ -1 5- -2  5  6 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-317800,69427052]	[a1,a2,a3,a4,a6]
j	-102053522/625	j-invariant
L	1.5365453762519	L(r)(E,1)/r!
Ω	0.38413634406296	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28880d1 115520b1 129960ca1 72200u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14440c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-1	-	-2	5	6	-6	+	-4	-6	4	4	-11	0	6	-2	5	10	-5	10	7	-8	-3	6	9

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Quadratic twists for elliptic curve 14440c1

-4	8	-3	5	-19
28880d1	115520b1	129960ca1	72200u1	14440i1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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